Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.0s (13.4%)

Memory

37.2MiB live, 1 139.2MiB allocated

Samples

781.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-mult: 249.0ms (63.7% of total)

ival-sub: 129.0ms (33% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain96.0ms (1.2%)

Memory

-42.0MiB live, 212.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.1% of total)

ival-sub: 2.0ms (18.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess65.0ms (0.8%)

Memory

17.8MiB live, 109.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	66	65
2	158	63
3	317	63
4	600	63
5	805	63
6	990	63
7	1138	63
8	1177	63
9	1177	63
0	7	7
0	10	7
1	17	7
2	32	7
3	69	7
4	165	7
5	341	7
6	431	7
7	512	7
8	548	7
0	548	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify24.0ms (0.3%)

Memory

-22.4MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 y z)
(*.f64 z y)
y
z

localize18.0ms (0.2%)

Memory

-0.9MiB live, 47.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0.0	(*.f64 y z)
accuracy	3.143970048018453	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

12.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (61.1% of total)

ival-sub: 1.0ms (20.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 16

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)

Outputs
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	z	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify145.0ms (1.9%)

Memory

-11.9MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))

Outputs
(* x (- 1 (* y z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
x
(+ x (* -1 (* x (* y z))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(.f64 (neg.f64 x) (.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z y)))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))

rewrite248.0ms (3.2%)

Memory

20.3MiB live, 160.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 385

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 y) z #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (fma.f64 z y (pow.f64 (.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)))) (+.f64 x (.f64 (neg.f64 x) (.f64 (neg.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 (neg.f64 y) z) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 z y) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 (neg.f64 y) z) x) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 (neg.f64 y) z) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (neg.f64 y) z) x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (+.f64 x (.f64 (*.f64 z y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 (neg.f64 y) z) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (neg.f64 y) z) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64))))
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(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 z))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) z)) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) y)) (fabs.f64 z))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y)))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 z (*.f64 (neg.f64 y) z))))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) z))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (*.f64 y y) z)))
(.f64 (sqrt.f64 (.f64 (*.f64 z z) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 z z) y)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 z))
(.f64 (.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 z y))
(pow.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) z))
(fabs.f64 (*.f64 z y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z y)))
(+.f64 (cosh.f64 (log.f64 (.f64 z y))) (sinh.f64 (log.f64 (.f64 z y))))

eval59.0ms (0.8%)

Memory: 4.3MiB live, 49.2MiB allocated
Compiler: Compiled 11 122 to 1 216 computations (89.1% saved)

prune9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	383	8	391
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	8	392

Accuracy

100.0%

Counts

392 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	94.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	28.6%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
▶	76.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
	75.0%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
	57.7%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
	45.9%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	51.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 254 to 164 computations (35.4% saved)

simplify314.0ms (4.1%)

Memory

-26.6MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
cost-diff	2	(fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))
cost-diff	2	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
cost-diff	6	(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x z)
cost-diff	0	(fma.f64 (*.f64 x z) (neg.f64 y) x)
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	241
0	57	220
1	122	198
2	475	198
3	3204	193
0	8090	191

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
x
z
(neg.f64 y)
y
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
x
(fma.f64 z y #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
(neg.f64 x)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))
(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
(.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))

Outputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(*.f64 x z)
(*.f64 z x)
x
z
(neg.f64 y)
y
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 x) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
x
(fma.f64 z y #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))) (.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 (*.f64 z y) x) x)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
(.f64 (.f64 z y) x)
(neg.f64 x)
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z
(fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))
(.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 (*.f64 z y) x) x))
(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
(.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) y) (.f64 z x))
(.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))
(.f64 (.f64 (*.f64 z y) x) x)

localize228.0ms (2.9%)

Memory

14.9MiB live, 61.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	5.414045985633362	(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
accuracy	6.756430879724866	(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
accuracy	7.19526295992494	(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))
accuracy	42.98525288976756	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
accuracy	0.0	(*.f64 z y)
accuracy	0.142910009768442	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy	2.8407684147048977	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
accuracy	11.443864396935727	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x z)
accuracy	0.0	(neg.f64 y)
accuracy	3.614237825250179	(fma.f64 (*.f64 x z) (neg.f64 y) x)
accuracy	3.143970048018453	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	31.223821911596584	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	2.5807495750395755	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

207.0ms

256×

valid

Compiler

Compiled 248 to 36 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 167.0ms (88% of total)

ival-pow: 6.0ms (3.2% of total)

ival-add: 5.0ms (2.6% of total)

ival-div: 3.0ms (1.6% of total)

ival-sub: 3.0ms (1.6% of total)

ival-neg: 2.0ms (1.1% of total)

ival-pow2: 2.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory

-12.9MiB live, 33.0MiB allocated

Counts

17 → 72

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
(fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(*.f64 z y)
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))

Outputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* (pow x 2) (+ (* y z) (* (pow y 2) (pow z 2))))
(* x (* y z))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 3) (- 1 (* (pow y 3) (pow z 3))))
(* -1 (* x (- (* y z) 1)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow x 2) (* y z))
(* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2)))))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(* y z)
(pow x 3)
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow y 3) (- (/ (pow x 3) (pow y 3)) (* (pow x 3) (pow z 3))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) (* -1 (* (pow x 3) (pow z 3))))))
(* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z))))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* (pow z 3) (- (/ (pow x 3) (pow z 3)) (* (pow x 3) (pow y 3))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) (* -1 (* (pow x 3) (pow y 3))))))

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)))
7.0ms	x	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)))
7.0ms	y	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)))
6.0ms	x	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)))
5.0ms	x	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (/ (* (- 1 (pow (* z y) 2)) x) (+ (* z y) 1)) (* (- 1 (pow (* z y) 2)) x) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))) (* (neg x) (* (neg y) z)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z))))) (/ (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)) (+ (* x x) (+ (* (* (neg x) (* (neg y) z)) (* (neg x) (* (neg y) z))) (* x (* (neg x) (* (neg y) z)))))) (* z y) (- (pow x 3) (pow (* (neg x) (* (neg y) z)) 3)))

simplify247.0ms (3.2%)

Memory

27.1MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	958
1	974	790
2	3877	790
0	8477	759

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x z)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* (pow x 2) (+ (* y z) (* (pow y 2) (pow z 2))))
(* x (* y z))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 3) (- 1 (* (pow y 3) (pow z 3))))
(* -1 (* x (- (* y z) 1)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
1
(+ 1 (* -1 (* y z)))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow x 2) (* y z))
(* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2)))))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(* y z)
(pow x 3)
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow y 3) (- (/ (pow x 3) (pow y 3)) (* (pow x 3) (pow z 3))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* y (+ (* -1 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) (* -1 (* (pow x 3) (pow z 3))))))
(* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z))))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (/ 1 z) y))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* (pow z 3) (- (/ (pow x 3) (pow z 3)) (* (pow x 3) (pow y 3))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* z (+ (* -1 y) (/ 1 z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) (* -1 (* (pow x 3) (pow y 3))))))

Outputs
(* x (+ 1 (* -1 (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- 1 (* y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* x z)
(*.f64 z x)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (- 1 (* (pow y 2) (pow z 2))))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* y z) (* (pow y 2) (pow z 2))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(* x (* y z))
(.f64 (.f64 z x) y)
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))))
(* (pow x 3) (- 1 (* (pow y 3) (pow z 3))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(* -1 (* x (- (* y z) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 z y) #s(literal 1 binary64)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
x
(+ x (* -1 (* x (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) x)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) z) z #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 y y) z) z)
(* (pow x 2) (* y z))
(.f64 (.f64 (*.f64 z x) y) x)
(* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2)))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(pow x 2)
(*.f64 x x)
(+ (* (pow x 2) (* y z)) (pow x 2))
(.f64 (.f64 x x) (fma.f64 z y #s(literal 1 binary64)))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 z x))) y x)
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (fma.f64 (neg.f64 x) z (.f64 (fma.f64 #s(literal 0 binary64) (.f64 z y) #s(literal 0 binary64)) y)) y x)
(* y z)
(*.f64 z y)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(* -1 (* x (* y z)))
(.f64 (neg.f64 x) (.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (- (/ 1 y) z))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) y)
(* -1 (* x (* (pow y 2) (pow z 2))))
(.f64 (.f64 (neg.f64 z) z) (.f64 (.f64 y y) x))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 (neg.f64 z) z) x (/.f64 (/.f64 x y) y)) y) y)
(* -1 (* (pow y 2) (pow z 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) z) z)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 z z)) (*.f64 y y))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 z x) y) x) z) y)
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(.f64 (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y))) (.f64 y y))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) y) y)
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(pow.f64 (.f64 (neg.f64 x) (.f64 z y)) #s(literal 3 binary64))
(* (pow y 3) (- (/ (pow x 3) (pow y 3)) (* (pow x 3) (pow z 3))))
(.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) y) y)
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) (* -1 (* (pow x 3) (pow z 3))))))
(.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z))))
(.f64 (.f64 (.f64 x x) y) (fma.f64 (.f64 z z) y z))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(.f64 (fma.f64 (.f64 (.f64 y y) z) z (fma.f64 z y #s(literal 1 binary64))) (.f64 x x))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 y x))) z x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (neg.f64 x) y (.f64 (fma.f64 #s(literal 0 binary64) (.f64 z y) #s(literal 0 binary64)) z)) z x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (/ 1 z) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) y) z)
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(.f64 (fma.f64 (.f64 (neg.f64 y) y) x (/.f64 (/.f64 x z) z)) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (.f64 y y)) (*.f64 z z))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(.f64 (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z))) (.f64 z z))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) (.f64 z z))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* (pow z 3) (- (/ (pow x 3) (pow z 3)) (* (pow x 3) (pow y 3))))
(.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) (.f64 z z))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64) (/.f64 x z)) z)
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) (* -1 (* (pow x 3) (pow y 3))))))
(.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))

rewrite563.0ms (7.3%)

Memory

-37.0MiB live, 110.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	189
0	57	141
1	249	122
2	1837	122
0	8876	120

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 1 243

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(*.f64 x z)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))
(.f64 (neg.f64 x) (.f64 (neg.f64 y) z))
(fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))
(*.f64 z y)
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64)))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z (.f64 (neg.f64 y) x) x))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64))))) (fma.f64 z (.f64 (neg.f64 y) x) x))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x)) (-.f64 (.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (.f64 z y) x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (.f64 z y) x x)) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (.f64 z y) x x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) x x)) (/.f64 (.f64 x x) (fma.f64 (.f64 z y) x x)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (.f64 z y) x x)) (/.f64 (.f64 x x) (fma.f64 (*.f64 z y) x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y x) z) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 y x) z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 z y) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)))) (fma.f64 z (*.f64 (neg.f64 y) x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 z y) x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 z y) x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (.f64 z y) x x)) (.f64 (fma.f64 (.f64 z y) x x) (.f64 x x))) (pow.f64 (fma.f64 (.f64 z y) x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (neg.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64))) (fma.f64 z (*.f64 (neg.f64 y) x) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (fma.f64 (.f64 z y) x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 z y) x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 9 binary64)))) (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))) (.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (.f64 z y) x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
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(+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (.f64 (*.f64 z y) x)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))

eval433.0ms (5.6%)

Memory: 40.0MiB live, 265.2MiB allocated
Compiler: Compiled 58 306 to 4 595 computations (92.1% saved)

prune26.0ms (0.3%)

Memory

-1.1MiB live, 92.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 328	3	1 331
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 331	8	1 339

Accuracy

100.0%

Counts

1 339 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
▶	76.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
▶	42.4%	(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
▶	75.0%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	57.7%	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
▶	45.9%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	51.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 231 to 137 computations (40.7% saved)

simplify117.0ms (1.5%)

Memory

-16.6MiB live, 135.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	2	(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
cost-diff	5	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (*.f64 z y) x x)
cost-diff	2	(fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))
cost-diff	4	(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
cost-diff	24	(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff	0	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
cost-diff	2	(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(.f64 (.f64 z y) (*.f64 z y))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z y)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	331
0	74	288
1	166	273
2	506	273
3	2288	269
0	8653	267

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z y)))
#s(literal 1 binary64)
(.f64 (.f64 z y) (*.f64 z y))
(*.f64 z y)
z
y
x
(fma.f64 z y #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))
(fma.f64 (*.f64 z y) x x)
(*.f64 z y)
z
y
x
(.f64 (.f64 z y) x)
(*.f64 x x)
(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
x
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 y)
y
(fma.f64 z y #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
(.f64 (.f64 z z) y)
(*.f64 z z)
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (.f64 (neg.f64 y) y) (*.f64 z z) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
(fma.f64 (.f64 x (.f64 (neg.f64 y) y)) (*.f64 z z) x)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z y)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 z z) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 z y) (*.f64 z y))
(.f64 (.f64 (*.f64 y y) z) z)
(*.f64 z y)
(*.f64 y z)
z
y
x
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 y) z)
(neg.f64 z)
z
y
(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) x) (sqrt.f64 (.f64 (*.f64 y y) z)) x)
x
(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 y y) z)) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
(sqrt.f64 (.f64 (.f64 y y) z))
(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
(.f64 (.f64 y y) z)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(sqrt.f64 z)
#s(literal 1 binary64)
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(fma.f64 (*.f64 (neg.f64 y) x) z x)
(fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))
(.f64 (fma.f64 (.f64 x (*.f64 y z)) (fma.f64 y z #s(literal 1 binary64)) x) x)
(fma.f64 (*.f64 z y) x x)
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(*.f64 z y)
(*.f64 y z)
z
y
x
(.f64 (.f64 z y) x)
(.f64 x (.f64 y z))
(*.f64 x x)
(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 y z)) (fma.f64 y z #s(literal 1 binary64)) x))
(fma.f64 z (*.f64 (neg.f64 y) x) x)
(fma.f64 (*.f64 (neg.f64 y) x) z x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (.f64 (neg.f64 y) y) (*.f64 z z) #s(literal 1 binary64)))
x
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 z z) #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 y z #s(literal 1 binary64)))
(neg.f64 y)
y
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
(.f64 (.f64 z z) y)
(.f64 (.f64 z z) y)
(*.f64 z z)
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)

localize125.0ms (1.6%)

Memory

-2.3MiB live, 290.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.185543103590171	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	3.9335803207950093	(.f64 (.f64 z z) y)
accuracy	5.179094744712828	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
accuracy	7.084134008341292	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	2.181636853590171	(fma.f64 (*.f64 z y) x x)
accuracy	5.167517796205731	(.f64 (.f64 z y) x)
accuracy	23.34681146159701	(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
accuracy	24.726851571541584	(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
accuracy	0.078125	(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
accuracy	0.11328125	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
accuracy	2.189449353590171	(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
accuracy	18.679982634347777	(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
accuracy	0.0	(*.f64 (neg.f64 z) y)
accuracy	0.0	(neg.f64 z)
accuracy	2.185543103590171	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
accuracy	24.775495236749443	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
accuracy	0.0	(*.f64 z y)
accuracy	0.11947250976844202	(.f64 (.f64 z y) (*.f64 z y))
accuracy	1.9167233089295517	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
accuracy	7.805378214014625	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))

Samples

73.0ms	193×	0	valid
21.0ms	63×	0	invalid

Compiler

Compiled 348 to 44 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 43.0ms (61.2% of total)

ival-div: 6.0ms (8.5% of total)

ival-add: 6.0ms (8.5% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-pow: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series512.0ms (6.6%)

Memory

0.9MiB live, 133.4MiB allocated

Counts

23 → 107

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z y)))
(.f64 (.f64 z y) (*.f64 z y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))
(fma.f64 (*.f64 z y) x x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 z y)
(.f64 (.f64 z y) x)
(.f64 (.f64 z z) y)

Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(/ (+ 1 (* -1 (* y z))) (* x (+ 1 (* y (* z (+ 1 (* y z)))))))
(* (pow x 2) (+ 1 (* y (* z (+ 1 (* y z))))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (* y z))
(* -1 (* x (- (* y z) 1)))
(* -1 (/ (- (* y z) 1) (* x (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))))
(* (pow x 2) (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))
(* -1 (* x (- (* -1 (* y z)) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* (pow y 2) z)
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(/ 1 x)
(+ (* y (- (* -1 (/ z x)) (/ z x))) (/ 1 x))
(+ (* y (- (+ (* -1 (* y (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* -1 (/ z x))) (/ z x))) (/ 1 x))
(+ (* y (- (+ (* -1 (/ z x)) (* y (- (* -1 (* y (+ (* -1 (* z (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* (pow z 2) (- (* -1 (/ z x)) (/ z x)))))) (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x))))) (/ z x))) (/ 1 x))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(* y (pow z 2))
(* -1 y)
(* y (- (* y z) 1))
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (- (/ 1 y) z))
(* y (+ (* x z) (/ x y)))
(* y (+ z (/ 1 y)))
(/ -1 (* x (* y z)))
(/ (- (* 2 (/ 1 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(/ (- (/ 2 (* x (* y (pow z 2)))) (+ (/ 1 (* x z)) (/ 1 (* x (* (pow y 2) (pow z 3)))))) y)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) (pow y 2))) (/ 2 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(* y (+ (* -1 z) (/ 1 y)))
(/ -1 z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -1 (/ (- (/ 1 (* x z)) (* 2 (/ 1 (* x (* y (pow z 2)))))) y))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow z 2)))) (/ 1 (* x (* y (pow z 3))))) y)) (/ 1 (* x z))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) y)) (* 2 (/ 1 (* x (pow z 2))))) y)) (/ 1 (* x z))) y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(* -1 z)
(+ (* z (- (* -1 (/ y x)) (/ y x))) (/ 1 x))
(+ (* z (- (+ (* -1 (* z (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* -1 (/ y x))) (/ y x))) (/ 1 x))
(+ (* z (- (+ (* -1 (/ y x)) (* z (- (* -1 (* z (+ (* -1 (* y (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* (pow y 2) (- (* -1 (/ y x)) (/ y x)))))) (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x))))) (/ y x))) (/ 1 x))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ (* -1 y) (* (pow y 2) z))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(/ (- (* 2 (/ 1 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(/ (- (/ 2 (* x (* (pow y 2) z))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (/ 2 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(* z (+ (* -1 y) (/ 1 z)))
(/ (- (/ 1 (* y z)) 1) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (/ (- (/ 1 (* x y)) (* 2 (/ 1 (* x (* (pow y 2) z))))) z))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (/ 1 (* x (* (pow y 3) z)))) z)) (/ 1 (* x y))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (* 2 (/ 1 (* x (pow y 2))))) z)) (/ 1 (* x y))) z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))

Calls

9 calls:

Time	Variable		Point	Expression
332.0ms	z	@	-inf	((/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (- 1 (* (* z y) (* z y))) (* (* z y) (* z y)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)))) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (+ (* (* z y) x) x) (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* z y) (* (* z y) x) (* (* z z) y))
134.0ms	y	@	-inf	((/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (- 1 (* (* z y) (* z y))) (* (* z y) (* z y)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)))) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (+ (* (* z y) x) x) (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* z y) (* (* z y) x) (* (* z z) y))
13.0ms	x	@	inf	((/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (- 1 (* (* z y) (* z y))) (* (* z y) (* z y)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)))) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (+ (* (* z y) x) x) (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* z y) (* (* z y) x) (* (* z z) y))
6.0ms	x	@	-inf	((/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (- 1 (* (* z y) (* z y))) (* (* z y) (* z y)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)))) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (+ (* (* z y) x) x) (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* z y) (* (* z y) x) (* (* z z) y))
5.0ms	z	@	inf	((/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (- 1 (* (* z y) (* z y))) (* (* z y) (* z y)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (* (* (neg y) z) (neg y)) (* x (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1)) (+ (* (sqrt (* (* (neg y) z) (neg y))) (sqrt z)) 1) (sqrt (* (* (neg y) z) (neg y))) (* (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)))) (/ (+ (* z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x)) (+ (* (* z y) x) x) (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1)) (/ (* (* z z) y) 1) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (/ (* (* z z) y) 1)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (* z y) (* (* z y) x) (* (* z z) y))

simplify497.0ms (6.4%)

Memory

3.7MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	1598
1	1381	1525
2	4603	1505
0	8223	1457

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

Calls

Call 1

Inputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* x (- 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(/ (+ 1 (* -1 (* y z))) (* x (+ 1 (* y (* z (+ 1 (* y z)))))))
(* (pow x 2) (+ 1 (* y (* z (+ 1 (* y z))))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (* y z))
(* -1 (* x (- (* y z) 1)))
(* -1 (/ (- (* y z) 1) (* x (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))))
(* (pow x 2) (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))
(* -1 (* x (- (* -1 (* y z)) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* (pow y 2) z)
(+ x (* x (* y z)))
(+ 1 (* y z))
(* y (sqrt z))
(/ 1 x)
(+ (* y (- (* -1 (/ z x)) (/ z x))) (/ 1 x))
(+ (* y (- (+ (* -1 (* y (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* -1 (/ z x))) (/ z x))) (/ 1 x))
(+ (* y (- (+ (* -1 (/ z x)) (* y (- (* -1 (* y (+ (* -1 (* z (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* (pow z 2) (- (* -1 (/ z x)) (/ z x)))))) (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x))))) (/ z x))) (/ 1 x))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(* y (pow z 2))
(* -1 y)
(* y (- (* y z) 1))
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* y (- (/ 1 y) z))
(* y (+ (* x z) (/ x y)))
(* y (+ z (/ 1 y)))
(/ -1 (* x (* y z)))
(/ (- (* 2 (/ 1 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(/ (- (/ 2 (* x (* y (pow z 2)))) (+ (/ 1 (* x z)) (/ 1 (* x (* (pow y 2) (pow z 3)))))) y)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) (pow y 2))) (/ 2 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(* y (+ (* -1 z) (/ 1 y)))
(/ -1 z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (sqrt z)))
(* -1 (/ (- (/ 1 (* x z)) (* 2 (/ 1 (* x (* y (pow z 2)))))) y))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow z 2)))) (/ 1 (* x (* y (pow z 3))))) y)) (/ 1 (* x z))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) y)) (* 2 (/ 1 (* x (pow z 2))))) y)) (/ 1 (* x z))) y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(* -1 z)
(+ (* z (- (* -1 (/ y x)) (/ y x))) (/ 1 x))
(+ (* z (- (+ (* -1 (* z (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* -1 (/ y x))) (/ y x))) (/ 1 x))
(+ (* z (- (+ (* -1 (/ y x)) (* z (- (* -1 (* z (+ (* -1 (* y (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* (pow y 2) (- (* -1 (/ y x)) (/ y x)))))) (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x))))) (/ y x))) (/ 1 x))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ (* -1 y) (* (pow y 2) z))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(* z (+ (* -1 (* x y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* z (- (/ 1 z) y))
(* z (+ (* x y) (/ x z)))
(* z (+ y (/ 1 z)))
(/ (- (* 2 (/ 1 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(/ (- (/ 2 (* x (* (pow y 2) z))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (/ 2 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(* z (+ (* -1 y) (/ 1 z)))
(/ (- (/ 1 (* y z)) 1) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (/ (- (/ 1 (* x y)) (* 2 (/ 1 (* x (* (pow y 2) z))))) z))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (/ 1 (* x (* (pow y 3) z)))) z)) (/ 1 (* x y))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (* 2 (/ 1 (* x (pow y 2))))) z)) (/ 1 (* x y))) z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))

Outputs
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (- 1 (* (pow y 2) (pow z 2))))
(fma.f64 (.f64 (.f64 (*.f64 (neg.f64 y) x) y) z) z x)
(* x (- 1 (* y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(/ (+ 1 (* -1 (* y z))) (* x (+ 1 (* y (* z (+ 1 (* y z)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x) (fma.f64 (.f64 (fma.f64 y z #s(literal 1 binary64)) z) y #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* y (* z (+ 1 (* y z))))))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) x) x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(.f64 (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (* y z))
(.f64 (.f64 y z) x)
(* -1 (* x (- (* y z) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 y z) #s(literal 1 binary64)))
(* -1 (/ (- (* y z) 1) (* x (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 y z) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) (.f64 (-.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64)) z) #s(literal 1 binary64))) x)
(* (pow x 2) (+ 1 (* -1 (* y (* z (- (* -1 (* y z)) 1))))))
(.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (-.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x) x)
(* -1 (* x (- (* -1 (* y z)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 z) y) #s(literal 1 binary64)))
x
(+ x (* -1 (* x (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(fma.f64 (.f64 (.f64 (*.f64 (neg.f64 y) x) y) z) z x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) z) z #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(+ x (* x (* y z)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* y (- (* -1 (/ z x)) (/ z x))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* -1 (* y (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* -1 (/ z x))) (/ z x))) (/ 1 x))
(fma.f64 (-.f64 (.f64 (neg.f64 y) (fma.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) z (.f64 z (/.f64 z x)))) (/.f64 (+.f64 z z) x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* -1 (/ z x)) (* y (- (* -1 (* y (+ (* -1 (* z (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x)))) (* (pow z 2) (- (* -1 (/ z x)) (/ z x)))))) (+ (* z (- (* -1 (/ z x)) (/ z x))) (/ (pow z 2) x))))) (/ z x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 y) (fma.f64 (neg.f64 z) (fma.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) z (.f64 z (/.f64 z x))) (.f64 (.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) z) z))) (fma.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x)) z (*.f64 z (/.f64 z x)))) y (-.f64 (/.f64 (neg.f64 z) x) (/.f64 z x))) y (/.f64 #s(literal 1 binary64) x))
(pow x 2)
(*.f64 x x)
(+ (* (pow x 2) (* y z)) (pow x 2))
(.f64 (fma.f64 y z #s(literal 1 binary64)) (.f64 x x))
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (pow z 2))))) (pow x 2))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) x) x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* -1 y)
(neg.f64 y)
(* y (- (* y z) 1))
(.f64 (-.f64 (.f64 y z) #s(literal 1 binary64)) y)
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(.f64 (-.f64 (.f64 (fma.f64 (neg.f64 y) (*.f64 z z) z) y) #s(literal 1 binary64)) y)
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (neg.f64 z) z (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) y z) y) #s(literal 1 binary64)) y)
(* y z)
(*.f64 y z)
(* -1 (* x (* y z)))
(.f64 (.f64 (neg.f64 y) x) z)
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* -1 (* x (* (pow y 2) (pow z 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(.f64 (.f64 (fma.f64 (neg.f64 x) (*.f64 z z) (/.f64 (/.f64 x y) y)) y) y)
(* -1 (* (pow y 2) (pow z 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) z) z)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 z z)) (.f64 y y))
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* x z) (/ x y)))
(*.f64 (fma.f64 x z (/.f64 x y)) y)
(* y (+ z (/ 1 y)))
(fma.f64 y z #s(literal 1 binary64))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))
(/ (- (* 2 (/ 1 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 x y) y) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) z)
(/ (- (/ 2 (* x (* y (pow z 2)))) (+ (/ 1 (* x z)) (/ 1 (* x (* (pow y 2) (pow z 3)))))) y)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x z) z) y)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) x)) y)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) (pow y 2))) (/ 2 (* x (* y (pow z 2))))) (/ 1 (* x z))) y)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 x z) z))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(.f64 (.f64 (.f64 (.f64 (*.f64 y z) x) x) z) y)
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(.f64 (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y))) (.f64 y y))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (+ (/ (* (pow x 2) z) y) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) y) y)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) z) #s(literal 1 binary64)) z)
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) z) #s(literal 1 binary64)) z))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y)
(* -1 (* y (- z (/ 1 y))))
(*.f64 (-.f64 z (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(* -1 (* y (sqrt z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(* -1 (/ (- (/ 1 (* x z)) (* 2 (/ 1 (* x (* y (pow z 2)))))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 x y) y) z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow z 2)))) (/ 1 (* x (* y (pow z 3))))) y)) (/ 1 (* x z))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) x)) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) y)) (* 2 (/ 1 (* x (pow z 2))))) y)) (/ 1 (* x z))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 x z) z))) y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (neg.f64 y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (pow x 2) y))) y)) (* (pow x 2) (pow z 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (.f64 (.f64 x x) (fma.f64 z z (/.f64 z y)))) y) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(*.f64 (fma.f64 x z (/.f64 x y)) y)
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z))
(* -1 z)
(neg.f64 z)
(+ (* z (- (* -1 (/ y x)) (/ y x))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (+ (* -1 (* z (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* -1 (/ y x))) (/ y x))) (/ 1 x))
(fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) y (.f64 y (/.f64 y x))) (neg.f64 z)) (/.f64 (+.f64 y y) x)) z (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (+ (* -1 (/ y x)) (* z (- (* -1 (* z (+ (* -1 (* y (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x)))) (* (pow y 2) (- (* -1 (/ y x)) (/ y x)))))) (+ (* y (- (* -1 (/ y x)) (/ y x))) (/ (pow y 2) x))))) (/ y x))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) y (.f64 y (/.f64 y x))) (neg.f64 y) (.f64 (.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) y) y)) (neg.f64 z)) (fma.f64 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) y (*.f64 y (/.f64 y x)))) z (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) z (/.f64 #s(literal 1 binary64) x))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(.f64 (.f64 (fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) z) y #s(literal 1 binary64)) x) x)
(+ (* -1 y) (* (pow y 2) z))
(fma.f64 (*.f64 y y) z (neg.f64 y))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(fma.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y)) z (neg.f64 y))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) z (pow.f64 (neg.f64 y) #s(literal 3 binary64))) z (*.f64 y y)) z (neg.f64 y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(.f64 (.f64 (fma.f64 (*.f64 (neg.f64 y) x) y (/.f64 (/.f64 x z) z)) z) z)
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (.f64 y y)) (*.f64 z z))
(* z (- (/ 1 z) y))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) y) z)
(* z (+ (* x y) (/ x z)))
(*.f64 (fma.f64 x y (/.f64 x z)) z)
(* z (+ y (/ 1 z)))
(fma.f64 y z #s(literal 1 binary64))
(/ (- (* 2 (/ 1 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 x y) y) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) z)
(/ (- (/ 2 (* x (* (pow y 2) z))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x y) y) z)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (/.f64 #s(literal 1 binary64) y)) x)) z)
(/ (- (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (/ 2 (* x (* (pow y 2) z)))) (/ 1 (* x y))) z)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) z))) x) z) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 x y) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) z)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(.f64 (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z))) (.f64 z z))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(.f64 (.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) z) z)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ (- (/ 1 (* y z)) 1) z)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) z) #s(literal 1 binary64)) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) z)) z) #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) x (/.f64 x z)) z)
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(.f64 (.f64 y z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 x y (/.f64 x z)) z)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 y z)
(* -1 (* z (- (* y (pow (sqrt -1) 2)) (/ 1 z))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(* -1 (/ (- (/ 1 (* x y)) (* 2 (/ 1 (* x (* (pow y 2) z))))) z))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 x y) y) z))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (* x (pow y 2)))) (/ 1 (* x (* (pow y 3) z)))) z)) (/ 1 (* x y))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) x)) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (* 2 (/ 1 (* x (pow y 2))))) z)) (/ 1 (* x y))) z))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) z))) x) z) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 x y) y))) z) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (pow x 2) z))) z)) (* (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (.f64 (.f64 x x) (fma.f64 y y (/.f64 y z)))) z) z)
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(*.f64 (fma.f64 x y (/.f64 x z)) z)
(* -1 (* z (- y (/ 1 z))))
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z)) (neg.f64 z))) z)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) z)

rewrite264.0ms (3.4%)

Memory

37.7MiB live, 371.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	266
0	74	245
1	291	197
2	2187	172
0	9826	168

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 2 151

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z y)))
(.f64 (.f64 z y) (*.f64 z y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(.f64 (.f64 (neg.f64 y) z) (neg.f64 y))
(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (neg.f64 y) z) (neg.f64 y)))
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))
(fma.f64 (*.f64 z y) x x)
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 z y)
(.f64 (.f64 z y) x)
(.f64 (.f64 z z) y)

Outputs
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 y z #s(literal 1 binary64)) (/.f64 x (-.f64 (.f64 y z) #s(literal 1 binary64)))) (-.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
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(-.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (.f64 x (.f64 y z)) (*.f64 #s(literal -1 binary64) x))
(-.f64 (.f64 x (.f64 y z)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 (neg.f64 y) x)) z))
(-.f64 x (.f64 (neg.f64 z) (.f64 (neg.f64 y) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 y z)))
(-.f64 x (.f64 x (.f64 y z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 y z)) x)))) (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 y z)) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 y z)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 y z)) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 x (.f64 y z)) x))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (neg.f64 (-.f64 (.f64 x (*.f64 y z)) x))))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 x (.f64 y z)) x))) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 y z)) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 (fma.f64 y z #s(literal 1 binary64)) x) (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 y z)) x)) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (.f64 x (*.f64 y z)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 y z)) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 x (*.f64 y z)) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (.f64 y z) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (.f64 x (.f64 y z)))
(+.f64 (.f64 x (.f64 y z)) (neg.f64 x))
(+.f64 (.f64 x (.f64 y z)) x)
(+.f64 x (.f64 x (.f64 y z)))
(.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 y (neg.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))
(/.f64 y (fma.f64 y z #s(literal -1 binary64)))
(neg.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 y z))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (*.f64 z z) y))) (fabs.f64 (sqrt.f64 (neg.f64 y))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 y z))) (fabs.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (fabs.f64 (fabs.f64 y)) z)
(.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64))))
(.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (fabs.f64 y) (sqrt.f64 z))))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) (sqrt.f64 z))) (fabs.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) (sqrt.f64 z))) (fabs.f64 (sqrt.f64 z)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) y)) z)
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) z)) (fabs.f64 y))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (*.f64 z z))) (fabs.f64 y))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) z)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(.f64 (sqrt.f64 (.f64 (.f64 y z) (sqrt.f64 z))) (sqrt.f64 (.f64 (fabs.f64 y) (sqrt.f64 z))))
(.f64 (sqrt.f64 (.f64 (.f64 y z) (.f64 (fabs.f64 y) (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 y z))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 y z))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (.f64 y z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 y z) (.f64 (fabs.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 y z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (.f64 y z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 y z))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) z)
(.f64 (sqrt.f64 (neg.f64 z)) (.f64 (fabs.f64 y) (sqrt.f64 z)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 z z) y)))
(.f64 (pow.f64 (.f64 y y) #s(literal 1/2 binary64)) z)
(.f64 (sqrt.f64 (.f64 (*.f64 z z) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 z z) y)) (sqrt.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) y) z)
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 (fabs.f64 y) (fabs.f64 (.f64 z #s(literal 1 binary64))))
(*.f64 (fabs.f64 y) z)
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (*.f64 y z)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 (*.f64 z z) y)))
(.f64 (sqrt.f64 z) (.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (fabs.f64 y) (sqrt.f64 z)))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 (neg.f64 z)))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(.f64 (.f64 y z) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(*.f64 z (fabs.f64 (fabs.f64 y)))
(.f64 z (fabs.f64 (.f64 y #s(literal 1 binary64))))
(.f64 z (pow.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 y #s(literal 1 binary64)))
(.f64 z (pow.f64 (.f64 y y) #s(literal 1/2 binary64)))
(.f64 z (.f64 y #s(literal 1 binary64)))
(*.f64 z (fabs.f64 y))
(*.f64 z (neg.f64 y))
(*.f64 z y)
(.f64 #s(literal 1 binary64) (.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 (*.f64 y y) z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 y y) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (.f64 x z)) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 z x)) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 x y)) z)
(.f64 (fabs.f64 (.f64 (neg.f64 y) x)) z)
(.f64 (.f64 x z) y)
(.f64 (.f64 z x) (neg.f64 y))
(.f64 (.f64 x (sqrt.f64 z)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(.f64 (.f64 x (*.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 x z)))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 z x)))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 (neg.f64 z) x)))
(.f64 (.f64 x y) z)
(.f64 (.f64 (neg.f64 y) x) z)
(.f64 (sqrt.f64 z) (.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) x))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) x))
(.f64 (neg.f64 y) (.f64 x z))
(.f64 (neg.f64 y) (.f64 z x))
(.f64 (neg.f64 z) (.f64 x y))
(.f64 x (.f64 y z))
(.f64 (.f64 y z) x)
(.f64 y (.f64 (neg.f64 z) x))
(.f64 y (.f64 z x))
(.f64 z (fabs.f64 (.f64 x y)))
(.f64 z (fabs.f64 (.f64 (neg.f64 y) x)))
(.f64 z (.f64 x y))
(.f64 z (.f64 (neg.f64 y) x))
(neg.f64 (.f64 x (.f64 y z)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y z)) #s(literal 2 binary64)))
(fabs.f64 (.f64 x (.f64 y z)))
(.f64 (neg.f64 (.f64 z z)) y)
(.f64 (.f64 z z) (neg.f64 y))
(.f64 (.f64 z z) y)
(.f64 (neg.f64 y) (.f64 z z))
(.f64 (neg.f64 z) (.f64 y z))
(.f64 (.f64 y z) (neg.f64 z))
(.f64 (.f64 y z) z)
(.f64 y (/.f64 (.f64 z z) #s(literal 1 binary64)))
(.f64 y (neg.f64 (.f64 z z)))
(.f64 y (.f64 z z))
(.f64 z (/.f64 (.f64 y z) #s(literal -1 binary64)))
(.f64 z (.f64 y z))
(/.f64 (.f64 (.f64 z z) y) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 z z) y) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 z z) y))

eval187.0ms (2.4%)

Memory: 21.4MiB live, 375.9MiB allocated
Compiler: Compiled 49 980 to 4 257 computations (91.5% saved)

prune125.0ms (1.6%)

Memory

-42.1MiB live, 116.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 375	6	1 381
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 378	11	1 389

Accuracy

100.0%

Counts

1 389 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
✓	96.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
✓	76.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
▶	27.1%	(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
	19.2%	(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(approx (/ (+ ( z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))))
▶	75.0%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	23.2%	(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
✓	45.9%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	51.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	49.1%	#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))

Compiler

Compiled 349 to 219 computations (37.2% saved)

simplify111.0ms (1.4%)

Memory

34.3MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
cost-diff	0	#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
cost-diff	0	(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(fabs.f64 y)
cost-diff	0	(*.f64 (fabs.f64 y) (sqrt.f64 z))
cost-diff	4	(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
cost-diff	0	(*.f64 (fabs.f64 y) (sqrt.f64 z))
cost-diff	0	#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
cost-diff	4	(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) z)
cost-diff	0	#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	5	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	274
0	60	274
1	129	249
2	380	249
3	1495	249
4	3107	249
5	4177	249
6	4451	249
7	5133	249
8	7093	249
9	7616	249
0	8066	248

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
x
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 y)
y
(fma.f64 z y #s(literal 1 binary64))
z
#s(literal 1 binary64)
(.f64 (.f64 z z) y)
(*.f64 z z)
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 (.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
x
#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(fabs.f64 y)
y
(sqrt.f64 z)
z
(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(fabs.f64 y)
y
(sqrt.f64 z)
z
(*.f64 (sqrt.f64 z) x)
x
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
(.f64 (.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
(fma.f64 z y #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (.f64 (*.f64 z z) y) (neg.f64 y) #s(literal 1 binary64)))
x
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 y y) z) z #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 y)
y
(fma.f64 z y #s(literal 1 binary64))
z
#s(literal 1 binary64)
(.f64 (.f64 z z) y)
(*.f64 z z)
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 (.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
(.f64 #s(approx (- 1 ( y z)) (*.f64 (fabs.f64 y) z)) x)
x
#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
#s(approx (- 1 (* y z)) (*.f64 (fabs.f64 y) z))
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (fabs.f64 y) z)
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(fabs.f64 y)
y
(sqrt.f64 z)
z
(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(fabs.f64 y)
y
(sqrt.f64 z)
z
(*.f64 (sqrt.f64 z) x)
x
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
(.f64 (.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
(fma.f64 z y #s(literal 1 binary64))
#s(literal 1 binary64)

localize119.0ms (1.5%)

Memory

-12.0MiB live, 233.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0320557130608998	(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
accuracy	4.932855690436257	(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
accuracy	7.805378214014625	(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
accuracy	24.605024418482735	#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
accuracy	0.0	(fabs.f64 y)
accuracy	0.15625	(*.f64 (fabs.f64 y) (sqrt.f64 z))
accuracy	0.1796875	(*.f64 (sqrt.f64 z) x)
accuracy	1.4452869147942655	(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
accuracy	0.15625	(*.f64 (fabs.f64 y) (sqrt.f64 z))
accuracy	0.22265625	(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
accuracy	2.185543103590171	(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
accuracy	31.847155536068325	#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	2.1238953482839213	(.f64 (.f64 (neg.f64 y) x) z)
accuracy	24.63414157725337	#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
accuracy	2.185543103590171	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	3.9335803207950093	(.f64 (.f64 z z) y)
accuracy	5.179094744712828	(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
accuracy	7.084134008341292	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))

Samples

72.0ms	193×	0	valid
22.0ms	63×	0	invalid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 58.0ms (77.1% of total)

ival-add: 4.0ms (5.3% of total)

ival-div: 3.0ms (4% of total)

ival-pow: 3.0ms (4% of total)

ival-sub: 2.0ms (2.7% of total)

ival-sqrt: 2.0ms (2.7% of total)

ival-fabs: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory

25.4MiB live, 116.4MiB allocated

Counts

20 → 62

Calls

Call 1

Inputs
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 y)
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 (.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
(fabs.f64 y)
(sqrt.f64 z)
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
(.f64 (.f64 z z) y)
(*.f64 (sqrt.f64 z) x)

Outputs
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x (+ 1 (* z (fabs y))))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* -1 (* x (* (pow y 2) z)))
(* x (sqrt z))
(* -1 (* x (- (* -1 (* z (fabs y))) 1)))
1
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
(* y (- (* y z) 1))
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(* z (fabs y))
(* (sqrt z) (fabs y))
(+ x (* x (* z (fabs y))))
(fabs y)
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(* y (pow z 2))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(/ -1 z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(* y (- (/ 1 y) z))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(+ (* -1 y) (* (pow y 2) z))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(sqrt z)
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ (- (/ 1 (* y z)) 1) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(* z (- (/ 1 z) y))
(* x (* z (fabs y)))
(* z (+ (* x (fabs y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))
(* -1 (* z (* (fabs y) (pow (sqrt -1) 2))))
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* (fabs y) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt z)))

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	((+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (* (neg y) x) z) (* (neg y) x) (* (* (fabs y) (sqrt z)) (sqrt z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (fabs y) (sqrt z)) (+ (* (* (fabs y) (sqrt z)) (* (sqrt z) x)) x) (fabs y) (sqrt z) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (* (* (* (* (neg y) x) y) z) z) (* (* (* (neg y) x) y) z) (* (* z z) y) (* (sqrt z) x))
17.0ms	z	@	-inf	((+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (* (neg y) x) z) (* (neg y) x) (* (* (fabs y) (sqrt z)) (sqrt z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (fabs y) (sqrt z)) (+ (* (* (fabs y) (sqrt z)) (* (sqrt z) x)) x) (fabs y) (sqrt z) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (* (* (* (* (neg y) x) y) z) z) (* (* (* (neg y) x) y) z) (* (* z z) y) (* (sqrt z) x))
7.0ms	z	@	inf	((+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (* (neg y) x) z) (* (neg y) x) (* (* (fabs y) (sqrt z)) (sqrt z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (fabs y) (sqrt z)) (+ (* (* (fabs y) (sqrt z)) (* (sqrt z) x)) x) (fabs y) (sqrt z) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (* (* (* (* (neg y) x) y) z) z) (* (* (* (neg y) x) y) z) (* (* z z) y) (* (sqrt z) x))
5.0ms	x	@	0	((+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (* (neg y) x) z) (* (neg y) x) (* (* (fabs y) (sqrt z)) (sqrt z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (fabs y) (sqrt z)) (+ (* (* (fabs y) (sqrt z)) (* (sqrt z) x)) x) (fabs y) (sqrt z) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (* (* (* (* (neg y) x) y) z) z) (* (* (* (neg y) x) y) z) (* (* z z) y) (* (sqrt z) x))
5.0ms	x	@	inf	((+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1)) (* x (+ (* (/ (neg y) (+ (* z y) 1)) (* (* z z) y)) (pow (+ (* z y) 1) -1))) (/ (neg y) (+ (* z y) 1)) (neg y) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (* (neg y) x) z) (* (neg y) x) (* (* (fabs y) (sqrt z)) (sqrt z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (fabs y) (sqrt z)) (+ (* (* (fabs y) (sqrt z)) (* (sqrt z) x)) x) (fabs y) (sqrt z) (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (* (- 1 (* (* z y) (* z y))) x) (* (* (* (* (neg y) x) y) z) z) (* (* (* (neg y) x) y) z) (* (* z z) y) (* (sqrt z) x))

simplify118.0ms (1.5%)

Memory

-10.7MiB live, 174.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	613
1	645	575
2	1867	570
3	4753	563
0	8113	550

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x y))
(* x (- 1 (* y z)))
(* x (+ 1 (* z (fabs y))))
(* x (- 1 (* (pow y 2) (pow z 2))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* -1 (* x (* (pow y 2) z)))
(* x (sqrt z))
(* -1 (* x (- (* -1 (* z (fabs y))) 1)))
1
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(* -1 y)
(* y (- (* y z) 1))
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(* z (fabs y))
(* (sqrt z) (fabs y))
(+ x (* x (* z (fabs y))))
(fabs y)
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(* y (pow z 2))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(/ -1 z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(* y (- (/ 1 y) z))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(+ (* -1 y) (* (pow y 2) z))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(sqrt z)
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ (- (/ 1 (* y z)) 1) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(* z (- (/ 1 z) y))
(* x (* z (fabs y)))
(* z (+ (* x (fabs y)) (/ x z)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))
(* -1 (* z (* (fabs y) (pow (sqrt -1) 2))))
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (* (fabs y) (pow (sqrt -1) 2))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt z)))

Outputs
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (fma.f64 (.f64 (*.f64 (neg.f64 y) y) z) z #s(literal 1 binary64)))
(* -1 (* x (* y z)))
(.f64 (neg.f64 x) (.f64 z y))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- 1 (* y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* x (+ 1 (* z (fabs y))))
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
(* x (- 1 (* (pow y 2) (pow z 2))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(.f64 (.f64 (.f64 (.f64 (neg.f64 z) x) z) y) y)
(* -1 (* x (* (pow y 2) z)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) z) x)
(* x (sqrt z))
(*.f64 (sqrt.f64 z) x)
(* -1 (* x (- (* -1 (* z (fabs y))) 1)))
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
x
(+ x (* -1 (* x (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* -1 y)
(neg.f64 y)
(* y (- (* y z) 1))
(*.f64 y (fma.f64 z y #s(literal -1 binary64)))
(* y (- (* y (+ z (* -1 (* y (pow z 2))))) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) z) y) #s(literal 1 binary64)) y)
(* y (- (* y (+ z (* y (+ (* -1 (pow z 2)) (* y (pow z 3)))))) 1))
(.f64 (-.f64 (.f64 (.f64 z (fma.f64 (.f64 z y) (fma.f64 z y #s(literal -1 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64)) y)
(* z (fabs y))
(*.f64 (fabs.f64 y) z)
(* (sqrt z) (fabs y))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(+ x (* x (* z (fabs y))))
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
(fabs y)
(fabs.f64 y)
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64)))
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (/ 1 (* y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)
(- (/ 1 (* y (pow z 2))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) y)) z) #s(literal 1 binary64)) z)
(- (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) y)) z)) #s(literal 1 binary64)) z)
(* y (- (/ 1 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64)))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z))
(+ (* -1 y) (* (pow y 2) z))
(*.f64 y (fma.f64 z y #s(literal -1 binary64)))
(+ (* -1 y) (* z (+ (* -1 (* (pow y 3) z)) (pow y 2))))
(neg.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 z y #s(literal -1 binary64))) z y))
(+ (* -1 y) (* z (+ (* z (+ (* -1 (pow y 3)) (* (pow y 4) z))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) z (pow.f64 (neg.f64 y) #s(literal 3 binary64))) z (*.f64 y y)) z (neg.f64 y))
(sqrt z)
(sqrt.f64 z)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(/ (- (/ 1 (* y z)) 1) z)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) y)) z) #s(literal 1 binary64)) z)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) z)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) y)) z)) #s(literal 1 binary64)) z)
(* z (- (/ 1 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* x (* z (fabs y)))
(.f64 (.f64 (fabs.f64 y) z) x)
(* z (+ (* x (fabs y)) (/ x z)))
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64)))
(* -1 (* z (- y (/ 1 z))))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)
(* -1 (/ (- 1 (/ 1 (* y z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) z)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) y)) z) #s(literal -1 binary64)) z)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (/.f64 #s(literal 1 binary64) y)) z)) z)
(* -1 (* z (* (fabs y) (pow (sqrt -1) 2))))
(*.f64 (fabs.f64 y) z)
(* -1 (* (sqrt z) (* (fabs y) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(* -1 (* x (* z (* (fabs y) (pow (sqrt -1) 2)))))
(.f64 (.f64 (fabs.f64 y) z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (* (fabs y) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (fabs.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) x)

rewrite237.0ms (3.1%)

Memory

14.2MiB live, 251.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	216
0	60	210
1	211	160
2	1325	153
0	8354	153

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 447

Calls

Call 1

Inputs
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 y)
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 (.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
#s(approx (- 1 (* y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
(fabs.f64 y)
(sqrt.f64 z)
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z))
(.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) z)
(.f64 (.f64 z z) y)
(*.f64 (sqrt.f64 z) x)

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))))) y) (.f64 (neg.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))))) y))) (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (.f64 z z) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))))) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 (.f64 (.f64 z z) y)) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))) (.f64 (neg.f64 (.f64 (.f64 z z) y)) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 (.f64 z z) y)) (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))) (.f64 (.f64 z z) y)) (.f64 (neg.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))) (.f64 (.f64 z z) y)))) (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64)))) (.f64 (.f64 z z) y))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -3 binary64)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -3 binary64)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))))))) (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -3 binary64)) (-.f64 (/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z (neg.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (neg.f64 y)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 z (neg.f64 y)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 z) y)) (.f64 (sqrt.f64 z) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 z) y)) (.f64 (sqrt.f64 z) x)) (.f64 (neg.f64 (.f64 (sqrt.f64 z) y)) (.f64 (sqrt.f64 z) x)) (.f64 x (.f64 (neg.f64 (.f64 (sqrt.f64 z) y)) (*.f64 (sqrt.f64 z) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z (neg.f64 y)) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 z (neg.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 z y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 z y) x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) x) x)) (.f64 (-.f64 (.f64 (.f64 z y) x) x) (.f64 x x))) (.f64 (-.f64 (.f64 (.f64 z y) x) x) (-.f64 (.f64 (.f64 z y) x) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (+.f64 x (.f64 (*.f64 z (neg.f64 y)) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 z y) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z y) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 z y) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 z y) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 z) x) y) (sqrt.f64 z) x)
(fma.f64 (.f64 (.f64 (sqrt.f64 z) y) x) (sqrt.f64 z) x)
(fma.f64 (*.f64 x z) y x)
(fma.f64 (.f64 (sqrt.f64 z) x) (.f64 (sqrt.f64 z) y) x)
(fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 z) x) x)
(fma.f64 (sqrt.f64 z) (.f64 x (.f64 (sqrt.f64 z) y)) x)
(fma.f64 (sqrt.f64 z) (.f64 y (.f64 (sqrt.f64 z) x)) x)
(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) y) x) x)
(fma.f64 (*.f64 z y) x x)
(fma.f64 x (*.f64 z y) x)
(fma.f64 y (*.f64 x z) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) x))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) x) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (sqrt.f64 z) x)) (*.f64 (sqrt.f64 z) y)))
(-.f64 x (.f64 (neg.f64 (.f64 (sqrt.f64 z) y)) (*.f64 (sqrt.f64 z) x)))
(-.f64 x (.f64 (.f64 z (neg.f64 y)) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) x)))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 z y) x) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (.f64 z y) x)) (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) x) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (*.f64 z y) x) x)))
(+.f64 (.f64 (.f64 z y) x) x)
(+.f64 x (.f64 (.f64 z y) x))
(.f64 (pow.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (fabs.f64 (sqrt.f64 y)) (fabs.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 (neg.f64 y))
(sqrt.f64 (*.f64 y y))
(fabs.f64 (neg.f64 y))
(fabs.f64 y)
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1/2 binary64)))
y
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))
(/.f64 (.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (-.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (-.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(approx ( (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)))) (neg.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z))) (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z))) (fma.f64 z y #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))
#s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z))
(.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) (neg.f64 z)) (neg.f64 z))
(.f64 (.f64 (.f64 z (neg.f64 y)) x) (.f64 z y))
(.f64 (.f64 (.f64 (.f64 x (neg.f64 y)) y) z) z)
(.f64 (.f64 (.f64 x (neg.f64 y)) y) (.f64 z z))
(.f64 (.f64 x (neg.f64 y)) (.f64 (.f64 z z) y))
(.f64 (.f64 z z) (.f64 (.f64 x (neg.f64 y)) y))
(.f64 z (.f64 (.f64 (.f64 x (neg.f64 y)) y) z))
(.f64 (neg.f64 y) (.f64 (.f64 x y) (.f64 z z)))
(.f64 y (.f64 (.f64 x (neg.f64 y)) (.f64 z z)))
(.f64 (.f64 (*.f64 z (neg.f64 y)) x) y)
(.f64 (.f64 z (neg.f64 y)) (*.f64 x y))
(.f64 (.f64 (*.f64 x (neg.f64 y)) y) z)
(.f64 (.f64 x (neg.f64 y)) (*.f64 z y))
(.f64 (.f64 z y) (*.f64 x (neg.f64 y)))
(.f64 x (.f64 (neg.f64 y) (*.f64 z y)))
(.f64 z (.f64 (*.f64 x (neg.f64 y)) y))
(.f64 (neg.f64 y) (.f64 (*.f64 x y) z))
(.f64 (neg.f64 y) (.f64 (*.f64 z y) x))
(.f64 y (.f64 (*.f64 z (neg.f64 y)) x))
(neg.f64 (.f64 (.f64 x y) (*.f64 z y)))
(.f64 (neg.f64 z) (.f64 z (neg.f64 y)))
(.f64 (.f64 z (neg.f64 y)) (neg.f64 z))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(*.f64 (sqrt.f64 z) x)
(*.f64 x (sqrt.f64 z))

eval123.0ms (1.6%)

Memory: 14.3MiB live, 155.3MiB allocated
Compiler: Compiled 16 515 to 1 900 computations (88.5% saved)

prune31.0ms (0.4%)

Memory

-41.2MiB live, 61.4MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	563	3	566
Fresh	0	1	1
Picked	1	4	5
Done	1	4	5
Total	565	12	577

Accuracy

100.0%

Counts

577 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
✓	96.0%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	94.4%	(fma.f64 (*.f64 x z) (neg.f64 y) x)
	23.1%	(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 x (neg.f64 y)) y) (.f64 z z))) (fma.f64 z y #s(literal 1 binary64)))
	27.5%	(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 x (.f64 (neg.f64 y) (.f64 z y))) z)) (fma.f64 z y #s(literal 1 binary64)))
	19.2%	(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(approx (/ (+ ( z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))))
✓	75.0%	(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
✓	23.2%	(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
✓	45.9%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	51.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
	46.9%	#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))

Compiler

Compiled 663 to 264 computations (60.2% saved)

regimes39.0ms (0.5%)

Memory

34.9MiB live, 78.5MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(fma.f64 (*.f64 x z) (neg.f64 y) x)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(.f64 x #s(approx (- 1 ( y z)) (.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))
(fma.f64 (.f64 (fabs.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 z) x) x)
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 x (.f64 (neg.f64 y) (.f64 z y))) z)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 x (neg.f64 y)) y) (.f64 z z))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 #s(approx (* (- 1 (* (* z y) (* z y))) x) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) x) y) z) z)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (.f64 z y))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 x (fma.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) #s(approx (/ (+ ( z (* (neg y) x)) x) (+ (* (+ (* (* z y) x) x) (* (* z y) x)) (* x x))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))))
(.f64 (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x)) (/.f64 (fma.f64 z (.f64 (neg.f64 y) x) x) (fma.f64 (fma.f64 (.f64 z y) x x) (.f64 (.f64 z y) x) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (.f64 (*.f64 z z) y) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 x (fma.f64 (/.f64 (neg.f64 y) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 z z) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) z)) (.f64 x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))))))

Outputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Calls

6 calls:

10.0ms	x
6.0ms	z
6.0ms	y
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
5.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
99.9%	3	`(*.f64 y z)`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
99.3%	2	`x`
96.0%	1	`y`
97.9%	2	`z`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes11.0ms (0.1%)

Memory

-31.0MiB live, 14.8MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(fma.f64 (*.f64 x z) (neg.f64 y) x)

Outputs

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 x z) (neg.f64 y)))

(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 (neg.f64 y) x) z))

Calls

3 calls:

5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
3.0ms	x
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
99.9%	3	`(*.f64 y z)`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
97.7%	2	`x`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes12.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))

Outputs

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 (neg.f64 y) x) z))

(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 (neg.f64 y) x) z))

Calls

6 calls:

2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
81.1%	3	`y`
62.2%	6	`x`
83.8%	3	`z`
86.1%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
96.8%	3	`(*.f64 y z)`
96.8%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))

Outputs

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 x z) (neg.f64 y)))

(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))

#s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (*.f64 (*.f64 x z) (neg.f64 y)))

Calls

2 calls:

1.0ms	(*.f64 y z)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))

Results

Accuracy	Segments	Branch
94.6%	3	`(*.f64 y z)`
94.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

-24.3MiB live, 20.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Calls

6 calls:

3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`z`
51.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
51.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
51.4%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch9.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	5.532336365811111e-24	2.6389917084272928e-23

Samples

4.0ms

96×

valid

Compiler

Compiled 94 to 103 computations (-9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (53% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.190876650892451e+100	1.2247404585097162e+110
0.0ms	-3.299717531140487e+120	-2.0430464816507432e+119

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	12195.46441568177	49343.90104483835
0.0ms	-2.379349650761472e+20	0.9999998692115769

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.307884230572645e-7	2.379349650761472e+20
0.0ms	-12194.46441568177	-1.0345265312935182e-7

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify87.0ms (1.1%)

Memory

-5.5MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	47	194
1	89	194
2	186	194
3	484	194
4	1479	194
5	2972	194
6	4066	194
7	5050	166
8	5920	158
9	6973	158

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5104235503814077/340282366920938463463374607431768211456 binary64)) (fma.f64 (.f64 x (neg.f64 y)) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -200000000000000000000 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 20000 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))))
(if (<=.f64 (.f64 y z) #s(literal -10000 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y))) (if (<=.f64 (.f64 y z) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 5104235503814077/340282366920938463463374607431768211456 binary64)) (fma.f64 (.f64 x (neg.f64 y)) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -200000000000000000000 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 20000 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -200000000000000000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 20000 binary64)))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 (neg.f64 y) x) z)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -10000 binary64)) #s(approx (/ ( (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y))) (if (<=.f64 (.f64 y z) #s(literal 944473296573929/4722366482869645213696 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y)))))
(if (or (<=.f64 (.f64 y z) #s(literal -10000 binary64)) (not (<=.f64 (.f64 y z) #s(literal 944473296573929/4722366482869645213696 binary64)))) #s(approx (/ (* (- 1 (* (* z y) (* z y))) x) (+ (* z y) 1)) (.f64 (.f64 x z) (neg.f64 y))) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

soundness1.1s (14.8%)

Memory

0.8MiB live, 812.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	82
1	144	82
2	379	82
3	1023	82
4	2458	82
5	5906	82
6	7796	82
0	8434	82
0	31	189
0	57	141
1	249	122
2	1837	122
0	8876	120
0	7	15
0	10	15
1	31	15
2	178	15
3	1456	15
0	9033	13
0	37	216
0	60	210
1	211	160
2	1325	153
0	8354	153
0	420	1598
1	1381	1525
2	4603	1505
0	8223	1457

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 493 to 243 computations (50.7% saved)

preprocess191.0ms (2.5%)

Memory: 8.2MiB live, 256.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 828 to 276 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (13.4%)

explain96.0ms (1.2%)

preprocess65.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.3%)

localize18.0ms (0.2%)

series6.0ms (0.1%)

simplify145.0ms (1.9%)

rewrite248.0ms (3.2%)

eval59.0ms (0.8%)

prune9.0ms (0.1%)

simplify314.0ms (4.1%)

localize228.0ms (2.9%)

series69.0ms (0.9%)

simplify247.0ms (3.2%)

rewrite563.0ms (7.3%)

eval433.0ms (5.6%)

prune26.0ms (0.3%)

simplify117.0ms (1.5%)

localize125.0ms (1.6%)

series512.0ms (6.6%)

simplify497.0ms (6.4%)

rewrite264.0ms (3.4%)

eval187.0ms (2.4%)

prune125.0ms (1.6%)

simplify111.0ms (1.4%)

localize119.0ms (1.5%)

series69.0ms (0.9%)

simplify118.0ms (1.5%)

rewrite237.0ms (3.1%)

eval123.0ms (1.6%)

prune31.0ms (0.4%)

regimes39.0ms (0.5%)

regimes11.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify87.0ms (1.1%)

soundness1.1s (14.8%)

preprocess191.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	17	19
2	32	19
3	69	19
4	165	19
5	341	19
6	431	19
7	512	19
8	548	19
0	548	19